Stability of relative equilibria of multidimensional rigid body
Mathematical Physics
2014-03-21 v3 Dynamical Systems
math.MP
Exactly Solvable and Integrable Systems
Abstract
It is a classical result of Euler that the rotation of a torque-free three-dimensional rigid body about the short or the long axis is stable, whereas the rotation about the middle axis is unstable. This result is generalized to the case of a multidimensional body.
Keywords
Cite
@article{arxiv.1203.3985,
title = {Stability of relative equilibria of multidimensional rigid body},
author = {Anton Izosimov},
journal= {arXiv preprint arXiv:1203.3985},
year = {2014}
}